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Finding the Fourth Proportional to 974.48, 1,462.82 and 609.48

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Solution

The fourth proportional to 974.48, 1,462.82 and 609.48 is: 914.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.48 : 1,462.82 = 609.48 : x
  2. Step 2: Convert to fraction form
    974.48/1,462.82 = 609.48/x
  3. Step 3: Cross multiply
    974.48x = 1,462.82 × 609.48
  4. Step 4: Simplify right side
    974.48x = 891,556.49
  5. Step 5: Solve for x
    x = 891,556.49/974.48
  6. Step 6: Final answer
    x = 914.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.